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All answers having "Drops off" as clue:

3 Character Answers:

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RHO



4 Character Answers:

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EBBS

NAPS

NODS

SAGS



5 Character Answers:

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DOZES

MOLTS

SHEDS

WANES

ZONKS



6 Character Answers:

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ABATES



7 Character Answers:

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LESSENS

SNOOZES



8 Character Answers:

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DELIVERS